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Simplifying 0 = 3l2 + -25l + -28 Reorder the terms: 0 = -28 + -25l + 3l2 Solving 0 = -28 + -25l + 3l2 Solving for variable 'l'. Combine like terms: 0 + 28 = 28 28 + 25l + -3l2 = -28 + -25l + 3l2 + 28 + 25l + -3l2 Reorder the terms: 28 + 25l + -3l2 = -28 + 28 + -25l + 25l + 3l2 + -3l2 Combine like terms: -28 + 28 = 0 28 + 25l + -3l2 = 0 + -25l + 25l + 3l2 + -3l2 28 + 25l + -3l2 = -25l + 25l + 3l2 + -3l2 Combine like terms: -25l + 25l = 0 28 + 25l + -3l2 = 0 + 3l2 + -3l2 28 + 25l + -3l2 = 3l2 + -3l2 Combine like terms: 3l2 + -3l2 = 0 28 + 25l + -3l2 = 0 Factor a trinomial. (28 + -3l)(1 + l) = 0Subproblem 1
Set the factor '(28 + -3l)' equal to zero and attempt to solve: Simplifying 28 + -3l = 0 Solving 28 + -3l = 0 Move all terms containing l to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3l = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3l = 0 + -28 -3l = 0 + -28 Combine like terms: 0 + -28 = -28 -3l = -28 Divide each side by '-3'. l = 9.333333333 Simplifying l = 9.333333333Subproblem 2
Set the factor '(1 + l)' equal to zero and attempt to solve: Simplifying 1 + l = 0 Solving 1 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + l = 0 + -1 Combine like terms: 1 + -1 = 0 0 + l = 0 + -1 l = 0 + -1 Combine like terms: 0 + -1 = -1 l = -1 Simplifying l = -1Solution
l = {9.333333333, -1}
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